M. Esra Yildirim

On Some Integral Inequalities for Twice Diferentiable φ - Convex and Quasi - Convex Functions via k - Fractional Integrals

M. Esra Yildirim, Abdullah Akkurt & Hüseyin Yildirim · Journal of Advances in Mathematics and Computer Science · 2016

In this paper, by using the integral equality which is given in this work, we aim at establishing some new inequalities of the Simpson-like and the Hadamard-like type for functions whose second derivatives are φ-convex and quasi-convex.

Open access Research Article 10.9734/BJMCS/2016/26309

On Hermite-Hadamard Inequalities for Differentiable λ-Preinvex Functions via Fractional Integrals

Abdullah Akkurt, M. Esra Yildirim & Hüseyin Yildirim · Journal of Advances in Mathematics and Computer Science · 2016

In this paper, we consider a new class of convex functions which is called λ-preinvex functions. We prove several Hermite-Hadamard type inequalities for differentiable λ-preinvex functions via Fractional Integrals. Some special cases are also discussed.

Open access Research Article 10.9734/BJMCS/2016/26518